-4x2 -x +18 = 0

ax2 bx c = 0

a = -4

b = -1

c = 18

Δ = b2-4ac

Δ = -² - (4 * -4 * 18)

Δ = 1 - (4*-72)

Δ = 1 - (-288)

Δ = 289      Δ > 0

-4x2-x+18=0

x = -b ∓ √Δ 2a

x' = 1 - √289 2*-4 = 1 - 17.0 -8 = -16.0 -8 = 2.0

x" = 1 + √289 2*-4 = 1 + 17.0 -8 = 18.0 -8 = -2.25

x' = 32.0

x" = -36.0

S = {x ∈ R / x' = 32.0, x" = -36.0 }